Yamabe metrics and conformal transformations

DOI10.2748/tmj/1178227341zbMath0793.53046OpenAlexW2021543579MaRDI QIDQ1312831

Osamu Kobayashi

Publication date: 7 February 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227341

zbMATH Keywords

Yamabe probleminfinitesimal deformationconformal vector fieldvariational formulasYamabe functional

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (4)

Constant scalar curvature metrics on Hirzebruch surfaces ⋮ Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold ⋮ The Yamabe invariant ⋮ On compact conformally flat 4-manifolds

Cites Work

• Conformal deformation of a Riemannian metric to constant scalar curvature
• A negative answer to a conjecture of conformal transformations of Riemannian manifolds
• On the conformal transformation group of a compact Riemannian manifold with constant scalar curvature
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
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